{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to CUDA-Q Dynamics (Time Dependent Hamiltonians)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Landau-Zener model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this lab we will learn how to implement time dependent Hamiltonian terms and custom operators.\n",
    "This is important functionality for modeling the application of control pulses to qubits or other interactions that maybe changing in time. \n",
    "\n",
    "In the first section we will use the example of a Landau-Zener transition to demonstrate two ways of implementing time dependent terms.\n",
    "\n",
    "The [Landau-Zener model](https://en.wikipedia.org/wiki/Landau%E2%80%93Zener_formula) describes the transition probability of a quantum system with two energy levels that cross each other as a function of an external parameter. For example, one can consider two spins weakly coupled to each other ($g$) while an external magnetic field is swept. If the two spins have an energy spectrum that cross each other as a function of the magnetic field, an avoided crossing is created due to the interaction of the spins with each other.\n",
    "\n",
    "If the magnetic field is swept slowly (adiabatically), no transitions across the splitting occurs. However, if it is swept quickly (diabatically), the transition hops over the splitting, effectively ignoring the splitting. If swept at an intermediate rate, the transition probability is given by a well defined probability. \n",
    "\n",
    "![alt text 2](images/LZ_transition.png)\n",
    "\n",
    "Figure 1. Sketch of two crossing energy levels with an avoided crossing along a parameter z. Image credit: Wikipedia"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 1 - Implementing time dependent terms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this lab we will learn to implement time dependent Hamiltonian terms with:\n",
    "- a time dependent scalar coefficient via `ScalarOperator`\n",
    "- a `tensor callback` function for custom operators\n",
    "\n",
    "We consider the following simple Hamiltonian representing the lowest two levels of the system. Note we consider first a small system as an instructional example to demonstrate the above features. A system this small won't experience a good acceleration run on GPU, but the features here can easily be scaled towards much larger systems which will experience a significant GPU speed-up.\n",
    "\n",
    "$$ \n",
    "\\hat H = \\begin{bmatrix}\n",
    "-\\alpha t & g \\\\\n",
    "g & \\alpha t\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "Here the coupling between levels is denoted by $g$ and the time dependent parameter is denoted by $\\alpha$. The above Hamiltonian can be of course decomposed into the following Pauli operators:\n",
    "\n",
    "$\\hat H = g\\hat\\sigma_x - \\alpha t \\hat\\sigma_z$\n",
    "\n",
    "We can implement the Pauli decomposition easily by constructing our Hamiltonian in CUDA-Q Dynamics with our typical spin operators and by leveraging a `ScalarOperator` with a time dependence and multiplying that by the $\\sigma_z$ term. The transition probability is known to be $P = e^{-\\pi g^2/\\alpha}$ but we will observe this by performing the following simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cudaq\n",
    "from cudaq import spin, operators, ScalarOperator, Schedule, ScipyZvodeIntegrator\n",
    "import numpy as np\n",
    "import cupy as cp\n",
    "import os\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the target to our dynamics simulator\n",
    "cudaq.set_target(\"dynamics\")\n",
    "\n",
    "# Define some shorthand operators\n",
    "sx = spin.x(0)\n",
    "sz = spin.z(0)\n",
    "sm = operators.annihilate(0)\n",
    "sm_dag = operators.create(0)\n",
    "\n",
    "# Dimensions of sub-system. We only have a single degree of freedom of dimension 2 (two-level system).\n",
    "dimensions = {0: 2}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's set a target transition probability of 0.75 to inform our value of $\\alpha$. We will see that computing the simulation will yield a transition result predicted by the theory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the Hamiltonian with spin operators and a ScalarOperator\n",
    "# Set the coupling to 2pi\n",
    "g = 2 * np.pi\n",
    "# The target ground state probability that we want to achieve\n",
    "target_p0 = 0.75\n",
    "# Compute `alpha` parameter:\n",
    "alpha = (-np.pi * g**2) / np.log(target_p0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define our Hamiltonian below and use the `ScalarOperator` to multiply the $\\sigma_z$ term by $t$ in a lambda function. This functionality also enables the easy implementation of time dependent drive terms and envelop functions by simply replacing the function in the `ScalarOperator` argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Hamiltonian\n",
    "hamiltonian = g * sx - alpha * ScalarOperator(lambda t: t) * sz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial state of the system (ground state)\n",
    "psi0 = cudaq.State.from_data(cp.array([1.0, 0.0], dtype=cp.complex128))\n",
    "\n",
    "# Schedule of time steps (simulating a long time range)\n",
    "steps = np.linspace(-2.0, 2.0, 5000)\n",
    "schedule = Schedule(steps, [\"t\"])\n",
    "\n",
    "# Run the simulation.\n",
    "evolution_result = cudaq.evolve(hamiltonian,\n",
    "                                dimensions,\n",
    "                                schedule,\n",
    "                                psi0,\n",
    "                                observables=[operators.number(0)],\n",
    "                                collapse_operators=[],\n",
    "                                store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "                                integrator=ScipyZvodeIntegrator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7b6ad27635c0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Collect the results and plot\n",
    "prob1 = [\n",
    "    exp_vals[0].expectation()\n",
    "    for exp_vals in evolution_result.expectation_values()\n",
    "]\n",
    "\n",
    "prob0 = [1 - val for val in prob1]\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "ax.plot(steps, prob1, 'b', steps, prob0, 'r')\n",
    "ax.plot(steps, (1.0 - target_p0) * np.ones(np.shape(steps)), 'k')\n",
    "ax.plot(steps, target_p0 * np.ones(np.shape(steps)), 'm')\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Occupation probability\")\n",
    "ax.set_title(\"Landau-Zener transition\")\n",
    "ax.legend((\"Excited state\", \"Ground state\", \"LZ formula (Excited state)\",\n",
    "           \"LZ formula (Ground state)\"),\n",
    "          loc=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see the transition probability of the ground state converges to the predicted probability of 0.75."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 2 - Implementing custom operators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the previous section we decomposed the Hamiltonian into spin operators to apply the time dependence to the $\\sigma_z$ terms. Alternatively, we can directly represent the Hamiltonian\n",
    "$$ \n",
    "\\hat H = \\begin{bmatrix}\n",
    "-\\alpha t & g \\\\\n",
    "g & \\alpha t\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "with a `tensor callback` and by defining an `ElementaryOperator`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define the above Hamiltonian in a matrix in the function `callback_tensor(t)` which accepts time as an argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cudaq import operators\n",
    "\n",
    "def callback_tensor(t):\n",
    "    return np.array([[-alpha * t, g], [g, alpha * t]], dtype=np.complex128)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now define an operator with this callback tensor, labeled `lz_op`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's define the control term as a callback tensor that acts on 2-level systems\n",
    "operators.define(\"lz_op\", [2], callback_tensor)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can define our hamiltonian now with this single `lz_op` `ElementaryOperator`, applied to the 0th degree of freedom. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Hamiltonian\n",
    "hamiltonian = operators.instantiate(\"lz_op\", [0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can run the rest of the simulation as before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Dimensions of sub-system. We only have a single degree of freedom of dimension 2 (two-level system).\n",
    "dimensions = {0: 2}\n",
    "\n",
    "# Initial state of the system (ground state)\n",
    "psi0 = cudaq.State.from_data(cp.array([1.0, 0.0], dtype=cp.complex128))\n",
    "\n",
    "# Schedule of time steps (simulating a long time range)\n",
    "steps = np.linspace(-2.0, 2.0, 5000)\n",
    "schedule = Schedule(steps, [\"t\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Run the simulation.\n",
    "evolution_result = cudaq.evolve(hamiltonian,\n",
    "                                dimensions,\n",
    "                                schedule,\n",
    "                                psi0,\n",
    "                                observables=[operators.number(0)],\n",
    "                                collapse_operators=[],\n",
    "                                store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "                                integrator=ScipyZvodeIntegrator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7b6ad1fce000>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prob1 = [\n",
    "    exp_vals[0].expectation()\n",
    "    for exp_vals in evolution_result.expectation_values()\n",
    "]\n",
    "\n",
    "prob0 = [1 - val for val in prob1]\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "ax.plot(steps, prob1, 'b', steps, prob0, 'r')\n",
    "ax.plot(steps, (1.0 - target_p0) * np.ones(np.shape(steps)), 'k')\n",
    "ax.plot(steps, target_p0 * np.ones(np.shape(steps)), 'm')\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Occupation probability\")\n",
    "ax.set_title(\"Landau-Zener transition\")\n",
    "ax.legend((\"Excited state\", \"Ground state\", \"LZ formula (Excited state)\",\n",
    "           \"LZ formula (Ground state)\"),\n",
    "          loc=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 3 - Heisenberg Model with a time-varying magnetic field"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section  we will now look at a much larger quantum system, considering a 1-D chain of 10 spins according to the Heisenberg Hamiltonian, adding a time-dependent transverse magnetic field after a delay. We can use this system to model quantum quench dynamics.\n",
    "\n",
    "$\\hat H = J_{ij}\\sum S_i \\cdot S_j + B_x (t) \\sum \\sigma^x_i $\n",
    "\n",
    " For this example, we consider the case where the $\\sigma^z_i \\sigma^z_{i+1}$ coupling is dominant, and prepare the system in an alternating spin up and down state, the approximate ground state.\n",
    "\n",
    "  ![alt text 1](images/Spin_chain.png)\n",
    "\n",
    "image credit: Wikipedia\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the target to our dynamics simulator\n",
    "cudaq.set_target(\"dynamics\")\n",
    "\n",
    "# In this example, we solve the Quantum Heisenberg model (https://en.wikipedia.org/wiki/Quantum_Heisenberg_model),\n",
    "# which exhibits the so-called quantum quench effect.\n",
    "\n",
    "# Number of spins\n",
    "N = 10\n",
    "\n",
    "dimensions = {}\n",
    "for i in range(N):\n",
    "    dimensions[i] = 2\n",
    "\n",
    "# Initial state: alternating spin up and down\n",
    "spin_state = ''\n",
    "for i in range(N):\n",
    "    spin_state += str(int(i % 2))\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1 - Define a time-varying magnetic field\n",
    "\n",
    "Let us construct the Hamiltonian with a step function B-field that turns on with magnitude 2.0 after a time delay=2.5. Modify the `B_field` function below to reflect this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define a time dependent B field\n",
    "delay=2.5\n",
    "def B_field(time):\n",
    "    if abs(time)<delay:\n",
    "        B=0.0\n",
    "    else:\n",
    "        B=2.0\n",
    "        # B=2.0*np.sin(2*np.pi*time)\n",
    "    return B"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now add the magnetic field term to the Hamiltonian. Assume the B-field lies in the x direction. The spin-spin Hamiltonian terms are given already."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# Heisenberg model spin coupling strength\n",
    "Jx = -0.2\n",
    "Jy = -0.2\n",
    "Jz = -1.0\n",
    "\n",
    "# Construct the Hamiltonian\n",
    "H = operators.zero()\n",
    "\n",
    "# Spin-spin terms\n",
    "for i in range(N - 1):\n",
    "    H += Jx * spin.x(i) * spin.x(i + 1)\n",
    "    H += Jy * spin.y(i) * spin.y(i + 1)\n",
    "    H += Jz * spin.z(i) * spin.z(i + 1)\n",
    "\n",
    "# Magnetic Field terms\n",
    "for i in range(N):\n",
    "    H += ScalarOperator(B_field) * spin.x(i) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now execute the simulation, measuring the $\\sigma^z_i$ expectation. Other common observables for this system are spin correlators $\\langle \\sigma^z_i \\sigma^z_j \\rangle$ and the magnetization $M = \\frac{1}{N} \\sum \\langle\\sigma^z_i\\rangle$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the time schedule\n",
    "steps = np.linspace(0.0, 5, 1000)\n",
    "schedule = Schedule(steps, [\"time\"])\n",
    "\n",
    "# Prepare the initial state vector\n",
    "psi0_ = cp.zeros(2**N, dtype=cp.complex128)\n",
    "psi0_[int(spin_state, 2)] = 1.0\n",
    "psi0 = cudaq.State.from_data(psi0_)\n",
    "\n",
    "# Run the simulation\n",
    "evolution_result = cudaq.evolve(H,\n",
    "                                dimensions,\n",
    "                                schedule,\n",
    "                                psi0,\n",
    "                                observables=[spin.z(i) for i in range(N)],\n",
    "                                collapse_operators=[],\n",
    "                                store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "                                integrator=ScipyZvodeIntegrator())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the results\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "exp_val = [get_result(i, evolution_result) for i in range(N)]\n",
    "\n",
    "# Plot the results\n",
    "fig = plt.figure(figsize=(12, 6))\n",
    "for i in range(N):  \n",
    "    plt.plot(steps, exp_val[i],label=f'spin {i}')\n",
    "plt.legend(fontsize=12)\n",
    "plt.ylabel(\"$\\\\sigma^z $\")\n",
    "plt.xlabel(\"Time\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the prior to the addition of the magnetic field, the system stays relatively stationary. With the transverse field, the system quickly mixes. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2 (Optional) \n",
    "\n",
    "a. Adjust the time dependent magnetic field to now be a sine function with amplitude 2.0, and frequency $2\\pi$.\n",
    "\n",
    "b. Consider now a disordered spin chain with varying couplings\n",
    "\n",
    "c. Observe the behavior of the following observables: spin correlators $\\langle \\sigma^z_i \\sigma^z_j \\rangle$ and the magnetization $M = \\frac{1}{N} \\sum \\langle\\sigma^z_i\\rangle$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define a time dependent B field\n",
    "delay=2.5\n",
    "def B_field(time):\n",
    "    if time<delay:\n",
    "        B=0\n",
    "    else:\n",
    "        B=2.0\n",
    "        # B=2.0*np.sin(2*np.pi*time)\n",
    "    return B\n",
    "\n",
    "observables=[spin.z(0)*spin.z(1)]"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
